Purulia district in West Bengal, India, is a well-known drought-prone area. Farmers of the area suffer a lot the whole year and could not plant the crops due to the poor water resources management. During the summer season, the situation becomes worst. Water resource management (WRM) is a potential method to address the available water resources for the district. In this paper, we have developed a multi-criterion water resource management technique for defining available water resources in agriculture. We have introduced a novel ranking method of generalized single-valued non-linear bipolar neutrosophic numbers based on possibility measures. Additionally, we have first defined the possibilistic mean of generalized single-valued non-linear bipolar neutrosophic number. Using the possibilistic mean, we have invented the positive and negative rank expositor for authenticity, hesitate, and falsity membership functions. In the present situation, water resource management in agriculture has become a big problem worldwide. Multi-criteria decision-making (MCDM) technique is necessary for developing this situation. Using the proposed multi-criteria decision-making (MCDM) method, we have solved a real water resource management problem in the Purulia district under GSVnTbN-environment. In this decision-making problem, we have considered the GSVnTbN-environment. Because during the summertime, water demand is very high, and groundwater level declines. At the end of summer, water demand is deficient in the agriculture field of the Purulia district. Sometimes the monsoon season, rainwater does not occur entirely. Even rainfall is uneven over the district. At that time, monsoon crop planting was tough in the agriculture field. So, this district's water scarcity nature is of a non-linear and uncertain type of nature. Therefore, we proposed an MCDM method for water resource management problems under GSVnTbN-environment.
Dr. Totan Garai received his post-graduation (M.Sc) in Mathematics from the Indian Institute of Technology, Madras, and Ph.D. in Mathematics from the Indian Institute of Engineering Science and Technology, Shibpur. Currently, he is working as an Assistant Professor in the Department of Mathematics, Syamsundar College, West Bengal -713424, India. He has qualified CSIR-UGC National Eligibility Test (NET). He has been teaching Mathematics both at the undergraduate and postgraduate levels. His research areas are Possibility theory, Fuzzy optimization, Inventory model, and Decision-making problem. He has authored more than 20 papers (over 14 are SCI) published in refereed. International Journals, including Computational and Applied Mathematics, International Journal of Intelligent Systems, Expert systems and application, Journal of Intelligent & Fuzzy Systems, Soft Computing, Journal of Ambient Intelligence and Humanized Computing, Mathematics & Statistics, Journal of Industrial and Production Engineering, Granular Computing, The Journal of Analysis, Annals of Data Science, Journal of Uncertainty Analysis and Applications, CAAI Transactions on Intelligence Technology, etc. His Google citations are more than 200. He reviewed many national and international journal articles.
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